Question

If ax - by = 0 and x + y = a+b, then find x2+y2

Answer 1

Step-by-step explanation:

ANSWER

Given,

ax+by=a

2

−b

2

......(1)

bx+ay=0.......(2).

Now adding (1) and (2) we get,

x(a+b)x+(a+b)y=a

2

−b

2

or, (a+b)(x+y)=a

2

−b

2

or, x+y=a−b.